Difference between revisions of "Language/Multiple-languages/Vocabulary/Number-Theory"

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[[Category:Sci-Tech_Index]]
{{Sci-Tech-Index-Intro}}
This is a part of the Sci-Tech Index, a project for science and technology learners.


You can see the titles are a bit of weird. They are going to be read by machine and made use of by other means.
{| class="wikitable sortable"
 
! cmn-Hans-CN: 科目
“Prerequisites” for non-English languages are to be generated through programs, so they are kept empty.
! cmn-Latn.Pinyin-CN: kēmù
 
! deu-Latn-DE: Fach [n]
In progress.
! eng-Latn-US: subject
 
! fra-Latn-FR: matière [f]
{| class="wikitable"
! jpn-Jpan-JP: 科目
!eng-Latn-US: concept
! jpn-Hrkt-JP: か↑もく
!eng-Latn-US: prerequisite
! pes-Aran-IR: رِشته
!cmn-Hans-CN: 概念
! rus-Cyrl-RU: предме́т
!cmn-Hans-CN: 前提
|-
!cmn-Latn.Pinyin-CN: gàiniàn
|
!cmn-Latn.Pinyin-CN: qiántí
|
!deu-Latn-DE: Begriff [m]
|
!deu-Latn-DE: Voraussetzung [f]
|
!fra-Latn-FR: concept [m]
|
!fra-Latn-FR: préalable [m]
|
!jpn-Hrkt-JP: がいねん
|
!jpn-Hrkt-JP: ぜんたい
|
!jpn-Jpan-JP: 概念
|
!jpn-Jpan-JP: 前提
|-
!rus-Cyrl-RU: конце́пция
| 算术
!rus-Cyrl-RU: предпосы́лка
| suàn shù
| Arithmetik [f]
| arithmetic
| arithmétique [f]
| 算数，算術
| さ↑んす↓う，さ↑んじゅつ
| علمِ حِساب‎
| арифме́тика
|-
| 代数数论
| dàishù shùlùn
| algebraische Zahlentheorie
| algebraic number theoryarithmetic; algebra
| théorie [f] algébrique des nombres
| 代数的整数論
| だ↑いすうてき↓せ↑いす↓うろん
| نَظَریه جَبری اَعداد
| алгебраи́ческая тео́рия чи́сел
|-
|-
|number theory
| 解析数论
|
| jiěxī shùlùn
|数论
| analytische Zahlentheorie
|
| analytic number theoryarithmetic; mathematical analysis
|shù lùn
| théorie [f] analytique des nombres
|
| 解析的整数論，解析数論
|Zahlentheorie [f]
| か↑いせきてき↓せ↑いす↓うろん，か↑いせきす↓うろん
|
| نَظَریه تَحلیل اَعداد
|théorie [f] des nombres
| аналити́ческая тео́рия чи́сел
|
|すうろん
|
|数論
|
|тео́рия чи́сел
|
|-
|-
|arithmetic
|  
|
|  
|算术
|  
|
|  
|suàn shù
|  
|
|  
|Arithmetik [f]
|  
|
|  
|arithmétique [f]
|  
|
|さんすう
|
|算数
|
|арифме́тика
|
|}
|}


== Arithmetic ==
== Arithmetic ==
{| class="wikitable"
{| class="wikitable sortable"
!eng-Latn-US: concept
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
!eng-Latn-US: prerequisite
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
!cmn-Hans-CN: 概念
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
!cmn-Hans-CN: 前提
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
!cmn-Latn.Pinyin-CN: gàiniàn
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
!cmn-Latn.Pinyin-CN: qiántí
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
!deu-Latn-DE: Begriff [m]
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
!deu-Latn-DE: Voraussetzung [f]
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
!fra-Latn-FR: concept [m]
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
!fra-Latn-FR: préalable [m]
!jpn-Hrkt-JP
!jpn-Hrkt-JP:
!jpn-Jpan-JP:前提
!jpn-Jpan-JP:  
!rus-Cyrl-RU:
!rus-Cyrl-RU:
|-
|-
|abacus
| ||
|basic operations
| ||
|算盘
| ||
|
|  ||  
|suàn pan
| ||
|
| ||  
|Abakus [m]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|absolute value, modulus (real number)
| 绝对值，模 ||  
|real number
| juéduì zhí, mó ||  
|绝对值
| Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert ||
|
| absolute value, modulus || real number
|juéduì zhí
| valeur absolue, module [m] ||
|
| 絶対値，母数 ||  
|Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert
| ぜ↑った↓いち，ぼ↑す↓う ||  
|
| قَدرِ مُطلَق ||  
|valeur [f] absolue
| абсолю́тная величина́, мо́дуль [м] ||  
|
|
|
|
|
|
|
|-
|-
|addition
| 加法逆元，相反数 ||  
|number, binary operation
| jiāfǎ nìyuán, xiāngfǎn shù ||  
|加法
| Gegenzahl [f] ||
|
| additive inverse, opposite, negation || addition; number (abstract idea)
|jiā fǎ
| opposé [m] ||
|
| 反数 ||  
|Addition [f]
| は↓んすう ||  
|
| وارون اَفزایِِشی ||  
|addition [f]
| противополо́жное число́ ||  
|
|
|
|
|
|
|
|-
|-
|additive inverse, opposite, negation
| 四则运算 ||  
|addition, number
| sìzé yùnsuàn ||  
|加法逆元, 相反数
| Grundrechnungsarten [f pl], Grundrechenarten [f pl] ||
|
| basic operation || addition; division; multiplication; subtraction
|jiāfǎ nìyuán, xiāngfǎn shù
|  ||  
|
|  ||  
|Gegenzahl [f]
|  ||  
|
| چهار عَمَل اَصلی ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|addend, summand
| 以二为底的对数 ||
|addition, operand
| yǐ èr wéi dǐ de duìshù ||
|加数
| binärer Logarithmus, dualer Logarithmus ||  
|
| binary logarithm || logarithm
|jiā shù
| logarithme [m] binaire ||
|
|  ||  
|Summand [m]
| ||  
|
| لُگاریتم باینِری، لُگاریتم دو دویی ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|analog computer
|basic operations, logarithm, exponentiation
|模拟计算机
|
|mónǐ jìsuànjī
|
|Analogrechner [m]
|
|
|
|
|
|
|
|
|
|-
|-
|anticommutative property, anticommutativity
| 指算法 ||  
|operation (mathematics)
| zhǐsuàn fǎ ||  
|反交换律
| Chisanbop [n] ||
|
| chisanbop || addition; subtraction
|fǎnjiāohuàn lǜ
|  ||  
|
| 指算法 ||  
|Antikommutativgesetz [n], Antikommutativität [f]
| ゆ↑びさ↓んぽう ||  
|
| مُحاسِبه اَنگُشتی ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|associative property, associativity
| 公差 ||
|operation (mathematics)
| gōng chā ||
|结合律
| ||
|
| common difference || arithmetic progression; difference <number theory>
|jiéhé lǜ
| ||
|
| 公差 ||  
|Assoziativgesetz [n], Assoziativität [f]
| こ↓うさ ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|augend
| 公比 ||
|addition, operand
| gōng bǐ ||
|被加数
| ||
|
| common ratio || geometic progression; ratio <number theory>
|bèijiā shù
| ||
|
| 公比 ||  
|erster Summand
| こ↓うひ ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|base (exponentiation)
| 共轭复数 ||
|exponentiation
| gòng'è fùshù ||
|底数（指数）, 基数（指数）
| komplexe Konjugation ||
|
| complex conjugate || complex number
|dǐ shù (zhǐ shù), jīshù (zhǐ shù)
| conjugué [m] ||
|
| 複素共役 ||  
|Basis [f] (Exponentiation)
| ふ↑くそきょ↓うやく ||  
|
| ||  
|
| сопряжённые чи́сла ||  
|
|
|
|
|
|
|
|-
|-
|base (logarithm)
| 常数，定数 ||  
|logarithm
| cháng shù, dìng shù ||  
|底数（对数）, 基数（对数）
| Konstante [f], Festwert [m] ||
|
| constant || number (abstract idea)
|dǐ shù (duì shù), jīshù (duì shù)
| constante [f] ||  
|
| 定数，常数 ||  
|Basis [f] (Logarithmus)
| て↑いす↓う，じょ↑うす↓う ||  
|
| ثابِت ||  
|
| постоя́нная, конста́нта ||  
|
|
|
|
|
|
|
|-
|-
|basic operations
| 连分数，繁分数 ||  
|addition, division, multiplication, subtraction
| lián fēnshù, fán fēnshù ||  
|四则运算
| Kettenbruch [m] ||
|
| continued fraction || integer part; multiplicative inverse
|sìzé yùnsuàn
| fraction continue ||  
|
| 連分数 ||  
|Grundrechnungsarten [f pl], Grundrechenarten [f pl]
| れ↑んぶ↓んすう ||  
|
| ||  
|
| непреры́вная дробь [ж], цепна́я дробь [ж] ||  
|
|
|
|
|
|
|
|-
|-
|binary logarithm
| 互质数 ||
|logarithm
| hùzhì shù ||  
|以 2 为底的对数
| teilerfremde Zahlen [f pl] ||  
|
| coprime numbers, relatively prime numbers, mutually prime numbers || prime number; divisor
|yǐ èr wéi dǐ de duìshù
| nombres [m pl] premiers entre eux ||
|
| 互いに素 ||  
|binärer Logarithmus, dualer Logarithmus
| た↑がいに↓そ ||  
|
| ||  
|logarithme [m] binaire
| взаи́мно просты́е чи́сла ||  
|
|
|
|
|
|
|
|-
|-
|binary system
| 算筹，算子 ||  
|numeral system
| suàn chóu, suàn zǐ ||  
|二进制
| Zählstäbe [m pl] ||
|
| counting rods || basic operation
|èr jìnzhì
| baguettes [f pl] à calculer ||
|
| 算木，算籌 ||  
|Dualsystem [n], Zweiersystem [n], Binärsystem [n]
| さ↓んぎ，さん↓ちゅう ||  
|
| میله های شُمارِش ||  
|système [m] binaire
| счётные па́лочки ||  
|
|
|
|
|
|
|
|-
|-
|binary operation, dyadic operation
| 古氏积木 ||
|operation (mathematics)
| Gǔshì jīmù ||
|二元运算
| Cuisenaire-Stäbchen [n pl] ||
|
| Cuisenaire rods || basic operations
|èryuán yùnsuàn
| réglettes [f pl] Cuisenaire ||
|
| ||  
|zweistellige Verknüpfung, binäre Verknüpfung
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|binary relation
| 小数 ||
|relation (mathematics)
| xiǎo shù ||
|二元关系
| Dezimalbruch [m], Zehnerbruch [m] ||
|
| decimal fraction || decimal representation
|èryuán guānxi
| fraction décimale ||
|
| 小数 ||  
|binäre Relation
| しょ↑うす↓う ||  
|
| ||  
|relation [f] binaire
| десяти́чная дробь [ж] ||  
|
|
|
|
|
|
|
|-
|-
|chisanbop
| 常用对数 ||
|addition, subtraction
| chángyòng duìshù ||
|指算法
| dekadischer Logarithmus, Zehnerlogarithmus [m] ||
|
| decimal logarithm, common logarithm || logarithm
|zhǐ suànfǎ
|  ||  
|
| ||  
|Chisanbop
| ||  
|
| لُگاریتم بَر پایه دَه ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|complex number
|imaginary number, real number
|复数
|
|fù shù
|
|komplexe Zahl
|
|nombre [m] complexe
|
|
|
|
|
|
|
|-
|-
|composite number
| 小数表示法 ||
|division, natural number
| xiǎoshù biǎoshì fǎ ||
|合数, 合成数
| Dezimaldarstellung [f] ||
|
| decimal representation || number (symbol)
|hé shù, héchéng shù
| développement décimal ||
|
| 小数表記法 ||  
|zusammengesetzte Zahl
| しょ↑うすうひょ↓うきほう  ||  
|
| نَمایِِش اَعشاری، نَمایش دَهدَهی ||  
|
| десяти́чное представле́ние ||  
|
|
|
|
|
|
|
|-
|-
|constant (mathematics)
| 小数点 ||  
|number
| xiǎoshù diǎn ||  
|常数, 定数
| Dezimaltrennzeichen [n] ||
|
| decimal separator || decimal representation; radix character
|cháng shù, dìng shù
| séparateur décimal ||
|
| 小数点 ||  
|Konstante [f], Festwert [m]
| しょ↑うす↓うてん ||  
|
| مُمَیِِز ||  
|constante [f]
| десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я ||  
|
|
|
|
|
|
|
|-
|-
|counting rods
| 数字（单个符号） ||
|basic operations
| shù zì (dāngè fúhào) ||
|算筹, 算子
| Ziffer [f] ||
|
| digit || number (abstract idea); symbol
|suàn chóu, suàn zǐ
| chiffre [m] (symbole individuel) ||
|
| 数字（個々の符号） ||  
|Zählstäbe [m pl]
| す↑うじ（こ↓このふ↑ごう） ||  
|
| رَقَم ||  
|
| ци́фра ||  
|
|
|
|
|
|
|
|-
|-
|decimal, base-ten
| 正比例 ||
|integer
| zhèng bǐlì ||
|十进制
| direkte Proprotionalität ||
|
| direct proportionality || proportionality
|shíjìn zhì
| proportionnalité directe ||
|
| 正比例 ||  
|Dezimalsystem [n], Zehnersystem [n], dekadisches System
| せ↑いひ↓れい ||  
|
| ||  
|
| пряма́я пропорциона́льность [ж] ||  
|
|
|
|
|
|
|
|-
|-
|decimal logarithm, common logarithm
| 丢番图逼近 ||
|logarithm
| Diūfāntú bījìn ||
|常用对数
| diophantische Approximation ||
|
| Diophantine approximation || real number
|chángyòng duìshù
| approximation diophantienne ||
|
| ディオファントス近似 ||  
|dekadischer Logarithmus, Zehnerlogarithmus [m]
| ディ↑オファントスき↓んじ ||  
|
| ||  
|
| диофа́нтово приближе́ние ||  
|
|
|
|
|
|
|
|-
|-
|decimal representation
| 除以零 ||
|number
| chú yǐ líng ||
|小数
| Division [f] durch Null [f] ||
|
| division by zero || division; zero
|xiǎo shù
| division [f] par zéro ||
|
|  ||  
|Dezimaldarstellung [f]
| ||  
|
| تَقسیم بَر صِفر ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|decimal separator
| 埃及分数 ||  
|decimal representation, radix character
| Āijí fēnshù ||  
|小数点
| Stammbruchzerlegung [f] ||
|
| Egyptian fraction || unit fraction
|xiǎoshù diǎn
| fraction égyptienne ||  
|
| エジプト式分数，エジプト分数 ||  
|Dezimaltrennzeichen [n]
| エ↑ジプトしきぶ↓んすう，エ↑ジプトぶ↓んすう ||  
|
| کَسر مِصری ||  
|
| еги́петская дробь ||  
|
|
|
|
|
|
|
|-
|-
|degree (root)
| 工程计数法 ||
|nth root
| gōngchéng jìshù fǎ ||
|次方根
| technische Notation ||
|
| engineering notation || scientific notation
|cìfāng gēn
| notation [f] ingénieur ||
|
|  ||  
|Wurzelgrad [m]
| ||  
|
| نَماد مُهَندِسی ||  
|degré [m] (racine)
| инжене́рная нота́ция ||  
|
|
|
|
|
|
|
|-
|-
|denominator
| 欧几里得引理 ||  
|fraction, operand
| Ōujīlǐdé yǐnlǐ ||  
|分母
| Lemma [n] von Euklid ||
|
| Euclid's lemma || prime number
|fēn mǔ
| lemme [m] d'Euclide ||
|
| ユークリッドの補題 ||  
|Nenner [m]
| ユ↑ークリ↓ッドのほ↑だい  ||  
|
| لِم اُقلیدُس، بُرهانِ کُمَکی اُقلیدُس ||  
|dénominateur [m]
| ле́мма Евкли́да ||  
|
|
|
|
|
|
|
|-
|-
|dependent variable
| 自然常数，自然底数，欧拉常数 ||
|fraction, operand
| zìrán chángshù, zìrán dǐshù, Ōulā chángshù ||
|因变量
| eulersche Zahl ||
|
| Euler's number, e || constant
|yīn biànliàng
| nombre [m] d'Euler, constante [f] de Néper, nombre [m] e ||
|
| ネイピア数，オイラー数 ||  
|abhängige Variable
| ネ↑イピア↓すう，オ↑イラ↓ーすう ||  
|
| عَدَد اویلِر ||  
|
| число́ Э́йлера, число́ e ||  
|
|
|
|
|
|
|
|-
|-
|difference
| 偶数 ||
|subtraction
| ǒu shù ||
|差
| gerade Zahl ||
|
| even number || natural number; division
|chā
| nombre pair ||
|
| 偶数 ||  
|Differenz [f]
| ぐ↑うす↓う ||  
|
| عَدَد زوج ||  
|différence [f]
| чётное число́ ||  
|
|
|
|
|
|
|
|-
|-
|digit
| 二进制指算法 ||  
|
| èrjìnzhì zhǐsuànfǎ ||  
|数字
| binär zählen mit Fingern [m pl] ||
|
| finger binary || addition; subtraction; binary system
|shù zì
| ||
|
| 二進指数え法 ||  
|Ziffer [f]
| に↑しんゆびかぞえほ↓う ||  
|
| مُحاسِبه اَنگُشتی باینِری، مُحاسِبه اَنگُشتی دودویی ||  
|chiffre [m]
| ||  
|
|
|
|
|
|
|
|-
|-
|distributive property, distributivity
| 因式分解 ||  
|operation (mathematics)
| yīnshì fēnjiě ||  
|分配律
| Faktorisierung [f] ||
|
| factorization, factoring || mathematical object <mathematical logic>
|fēnpèi lǜ
| factorisation [f] ||
|
|  ||  
|Distributivgesetz [n], Distributivität [f]
| ||  
|
| فاکتورسازی ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|dividend
| 有限连分数 ||
|fraction, operand
| yǒuxiàn liánfēnshù ||
|被除数
| endlicher Kettenbruch ||
|
| finite continued fraction, terminated continued fraction || continued fraction; infinity
|bèichú shù
| fraction continue finie ||  
|
| 有限連分数 ||  
|Dividend [m]
| ゆ↑うげんれんぶ↓んすう ||  
|
| ||  
|dividende [m]
| коне́чная цепна́я дробь [ж] ||  
|
|
|
|
|
|
|
|-
|-
|division
| 黄金比例，黄金分割率，黄金分割比 ||
|number, binary operation
| huángjīn bǐlì, huángjīn fēngē lǜ, huángjīn fēngē bǐ ||
|除法
| Goldener Schnitt ||
|
| golden ratio || ratio; addition; root extraction
|chú fǎ
| nombre [m] d'or [m], section dorée, proportion dorée ||
|
| 黄金比 ||  
|Division [f]
| お↑うご↓んひ ||  
|
| ||  
|division [f]
| золото́е сече́ние, золота́я пропо́рция ||  
|
|
|
|
|
|
|
|-
|-
|division by zero
| 最大公因数，最大公约数 ||
|division, zero
| zuìdà gōngyīnshù, zuìdà gōngyuēshù ||  
|除以零
| größter gemeinsamer Teiler ||  
|
| greatest common divisor, highest common divisor, greatest common factor || integer; division
|chú yǐ líng
| plus grand commun diviseur ||  
|
| 最大公約数 ||  
|Division [f] durch Null
| さ↑いだいこうやく↓すう ||  
|
|  ||  
|division [f] par zéro
| наибо́льшим о́бщим дели́телем ||  
|
|
|
|
|
|
|
|-
|-
|division with remainder, Euclidean division
| 虚数单位 ||
|division
| xūshù dānwèi ||
|带余除法, 欧几里德除法
| imaginäre Einheit ||  
|
| imaginary unit, unit imaginary number || imaginary number
|dàiyú chúfǎ, Ōujīlǐdé chúfǎ
| unité imaginaire ||  
|
| 虚数単位 ||
|Division [f] mit Rest
| きょ↑すうた↓んい ||  
|
| ||  
|
| мни́мая едини́ца ||  
|
|
|
|
|
|
|
|-
|-
|divisor
| 假分数 ||
|division, operand
| jiǎ fēnshù ||
|除数
| unechter Bruch, uneigentlicher Bruch ||
|
| improper fraction || fraction
|chú shù
| fraction impropre ||  
|
| 仮分数 ||  
|Divisor [m]
| か↑ぶ↓んすう ||  
|
| ||  
|diviseur [m]
| непра́вильные дро́би ||  
|
|
|
|
|
|
|
|-
|-
|commutative property, commutativity
| 无限连分数 ||
|operation (mathematics)
| wúxiàn liánfēnshù ||
|交换律
| unendlicher Kettenbruch ||
|
| infinite continued fraction || continued fraction; infinity
|jiāohuàn lǜ
| fraction continue infinie ||
|
| 無限連分数 ||  
|Kommutativgesetz [n], Vertauschungsgesetz [n], Kommutativität [f]
| む↑げんれんぶ↓んすう ||  
|
| ||  
|
| бесконе́чная цепна́я дробь [ж] ||  
|
|
|
|
|
|
|
|-
|-
|Egyptian fraction
| 无穷 ||  
|unit fraction
| wúqióng ||  
|埃及分数
| Unendlichkeit [f] ||
|
| infinity || number (abstract idea)
|Āijí fēnshù
| infini [m] ||  
|
| 無限 ||  
|Stammbruchzerlegung [f]
| む↑げん ||  
|
| ||  
|
| бесконе́чность ||  
|
|
|
|
|
|
|
|-
|-
|equal sign
| 反函数 ||  
|equation
| fǎn hánshù ||  
|等号
| Umkehrfunktion [f], inverse Funktion ||
|
| inverse function, anti-function || function <mathematical logic>; inverse mapping
|děng hào
| fonction [f] réciproque ||
|
| 逆函数 ||  
|Gleichheitszeichen [n], Ist-gleich-Zeichen [n]
| ぎゃ↑くか↓んすう ||  
|
| ||  
|signe [m] égal
| обра́тная фу́нкция ||  
|
|
|
|
|
|
|
|-
|-
|equality
| 逆映射 ||  
|
| nì yìngshè ||  
|相等
| inverse Abbildung, Umkehrabbildung [f] ||
|
| inverse mapping || mapping
|xiāng děng
| bijection [f] réciproque ||
|
| 逆写像 ||  
|Gleichheit [f] (Mathematik)
| ぎゃ↑くしゃ↓ぞう ||  
|
| ||  
|égalité [f]
| обра́тное отображе́ние ||  
|
|
|
|
|
|
|
|-
|-
|equation
| 反比例 ||  
|equality, expression (mathematics)
| fǎn bǐlì ||  
|方程, 等式
| umgekehrte Proportionalität, Antiproportionalität [f], indirekte Proportionalität ||
|
| inverse proportionality || proportionality
|fāngchéng, děng shì
| proportionnalité inverse ||
|
| 反比例 ||  
|Gleichung [f]
| は↑んぴれい ||  
|
| ||  
|équation [f]
| обра́тная пропорциона́льность ||  
|
|
|
|
|
|
|
|-
|-
|Euclid's lemma
| 最简分数，既约分数 ||
|prime number
| zuìjiǎn fēnshù, jìyuē fēnshù ||
|欧几里得引理
| gekürzter Bruch ||
|
| irreducible fraction, fraction in lowest terms, simplest form, reduced fraction || fraction; coprime integer
|Ōujīlǐdé yǐnlǐ
| fraction [f] irréductible ||
|
| 既約分数 ||  
|Lemma [n] von Euklid
| き↑やくぶ↓んすう ||  
|
| ||  
|
| несократи́мая дробь ||  
|
|
|
|
|
|
|
|-
|-
|e (constant), Euler's number
| 最小公分母 ||
|constant (mathematics)
| zuìxiǎo gōngfēnmǔ ||
|自然常数, 自然底数, 欧拉数
| Hauptnenner [m] ||  
|
| least common denominator, lowest common denominator || least common multiple
|zìrán chángshù, zìrán dǐshù, Ōulā shù
| plus petit dénominateur commun ||  
|
| 最小公分母 ||
|Eulersche Zahl
| さ↑いしょうこうぶ↓んぼ ||  
|
| ||  
|
| наиме́ньший о́бщий знамена́тель ||  
|
|
|
|
|
|
|
|-
|-
|even number
| 最小公倍数 ||
|natural number, division
| zuìxiǎo gōngbèishù ||
|偶数
| kleinstes gemeinsames Vielfaches ||
|
| least common multiple, lowest common multiple, smallest common multiple || integer; division; denominator
|ǒu shù
| plus petit commun multiple, plus petit multiple commun ||  
|
| 最小公倍数 ||  
|gerade Zahl
| さ↑いしょうこうば↓いすう ||  
|
| ||  
|
| наиме́ньшее о́бщее кра́тное ||  
|
|
|
|
|
|
|
|-
|-
|exponent
| 长除法 ||  
|exponentiation
| cháng chúfǎ ||  
|幂, 指数
| Standardmethode [f] der schriftlichen Division [f] ||
|
| long division || division
|mì, zhǐ shù
| division posée ||
|
| 長除法  ||  
|Hochzahl [f], Exponent [m]
| ちょ↑うじょほう  ||  
|
| ||  
|exposant [m]
| деле́ние сто́лбиком ||  
|
|
|
|
|
|
|
|-
|-
|exponentiation
| 带分数 ||
|number, binary operation
| dài fēnshù ||
|幂运算, 指数运算
| gemischte Zahl ||
|
| mixed number || fraction
|mì yùnsuàn, zhǐshù yùnsuàn
| nombre [m] mixte ||
|
| 帯分数 ||  
|Potenz [f] (Mathematik)
| た↑いぶ↓んすう ||  
|
| ||  
|
| сме́шанное число́ ||  
|
|
|
|
|
|
|
|-
|-
|expression (mathematics)
| 模算术 ||  
|digit, symbol (mathematics)
| mó suànshù ||  
|表达式, 表示式, 运算式
| Modulararithmetik [f] ||
|
| modular arithmetic || integer
|biǎodá shì, biǎoshì shì, yùnsuàn shì
| arithmétique [f] modulaire ||
|
| 合同算術 ||  
|Ausdruck [m] (Mathematik)
| ご↑うどうさ↓んじゅつ ||  
|
| ||  
|expression [f] (mathématique)
| мо́дульную арифме́тику, модуля́рную арифметику ||  
|
|
|
|
|
|
|
|-
|-
|finger binary
| 乘法表 ||
|addition, subtraction, binary system
| chéngfǎ biǎo ||
|二进制指算法
| Einmaleins [n] ||
|
| multiplication table || multiplication
|èrjìnzhì zhǐsuànfǎ
| table [f] de multiplication ||
|
| 九九 ||  
|binär zählen mit Fingern [m pl]
| く↓く ||  
|
| ||  
|
| табли́ца умноже́ния, табли́ца Пифаго́ра ||  
|
|
|
|
|
|
|
|-
|-
|fraction
| 乘法逆元，倒数 ||  
|division, integer
| chéngfǎ nìyuán, dào shù ||  
|分数
| Kehrwert [m], reziprokes Wert, Reziproke [n] ||
|
| multiplicative inverse, reciprocal || multiplication; reciprocation
|fēn shù
| inverse [m] ||
|
| 逆数 ||  
|Bruch [m]
| ぎゃ↑くす↓う ||  
|
| ||  
|fraction [f]
| обра́тное число́ ||  
|
|
|
|
|
|
|
|-
|-
|factorization, factoring
| 纳皮尔筹 ||  
|object (mathematics)
| Nàpí'ěr chóu ||  
|因式分解
| Napier'sche Rechenstäbchen [n pl], Neper'sche Rechenstäbchen [n pl] ||
|
| Napier's rods, Napier's bones || lattice multiplication
|yīnshì fēnjiě
| bâton [m] de Napier, réglette [f] de Neper ||
|
| ネイピアの骨 ||  
|Faktorisierung [f] (Mathematik)
| ネ↓イピアのほ↑ね ||  
|
| ||  
|factorisation [f]
| па́лочки Не́пера, не́перовы па́лочки ||  
|
|
|
|
|
|
|
|-
|-
|function (mathematics)
| 自然对数 ||
|binary relation, set (mathematics) <set theory>
| zìrán duìshù ||
|函数
| natürlicher Logarithmus ||
|
| natural logarithm || Euler's number; logarithm
|hán shù
| logarithme naturel, logarithme népérien ||
|
| 自然対数 ||  
|Funktion [f] (Mathematik)
| し↑ぜんた↓いすう ||  
|
| ||  
|fonction [f]
| натура́льный логари́фм ||  
|
|
|
|
|
|
|
|-
|-
|greater than
| 负数 ||
|inequality (mathematics)
| fù shù ||
|大于
| negative Zahl ||
|
| negative number || number (abstract idea)
|dà yú
| nombre [m] négatif ||  
|
| 負の数 ||  
|größer als
| ふ↓のすう ||  
|
| ||  
|plus grand que
| отрица́тельное число́ ||  
|
|
|
|
|
|
|
|-
|-
|greater than or equal to
| 非负数 ||
|inequality (mathematics), equality
| fēifù shù ||
|大于等于
| nichtnegative Zahl ||
|
| non-negative number || negative number
|dàyú děngyú
| nombre [m] non négatif ||
|
| 負でない数 ||  
|größer als oder gleich
| ふ↓で↑な↓いすう ||  
|
| ||  
|plus grand ou égal à
| неотрица́тельное число́ ||  
|
|
|
|
|
|
|
|-
|-
|hexadecimal, base 16, hex
| 非正数 ||
|numeral system
| fēizhèng shù ||
|十六进制
| nichtpositive Zahl ||
|
| non-positive number || positive number
|shíliù jìnzhì
| nombre [m] non positif ||
|
| 正でない数 ||  
|Hexadezimalsystem [n], Sedezimalsystem [n]
| せ↓いで↑な↓いすう ||  
|
| ||  
|
| неположи́тельное число́ ||  
|
|
|
|
|
|
|
|-
|-
|imaginary unit, unit imaginary number
| 数 ||
|imaginary number
| shù ||
|虚数单位
| Zahl [f] (abstrakte Identität) ||
|
| number (abstract identity) || mathematical object <mathematical logic>
|xūshù dānwèi
| nombre [m] ||
|
| 数 ||  
|imaginäre Einheit
| か↓ず ||  
|
| ||  
|
| число́ (абстра́ктная иденти́чность [ж]) ||  
|
|
|
|
|
|
|
|-
|-
|imaginary number
| 数字（整个符号） ||  
|negative number, exponentiation
| shù zì (zhěnggè fúhào) ||  
|虚数
| Zahl [f] (Symbol) ||
|
| number (symbol), numeral || digit
|xū shù
| chiffre [m] (symbole entier) ||
|
| 数字 ||  
|imaginäre Zahl
| す↑うじ ||  
|
| ||  
|nombre [m] imaginaire
| число́ (си́мвол) ||  
|
|
|
|
|
|
|
|-
|-
|imaginary axis
| 数轴，数线 ||
|imaginary line (mathematics)
| shù zhóu, shù xiàn ||
|虚轴
| Zahlengerade [f], Zahlenstrahl [m] ||
|
| number line || line <geometry>
|xū zhóu
| ligne [f] numérique ||
|
| 数直線 ||  
|imaginäre Achse
| す↑うちょ↓くせん ||  
|
| ||  
|
| числова́я ось, числова́я пряма́я ||  
|
|
|
|
|
|
|
|-
|-
|imaginary line (mathematics)
| 奇数 ||
|line (geometry) <geometry>, point (geometry) <geometry>, imaginary number
| jī shù ||
|虚数线
| ungerade Zahl ||
|
| odd number || natural number; division
|xūshù xiàn
| nombre impair ||
|
| 奇数 ||  
|imaginäre Linie
| き↑す↓う ||  
|
| ||  
|
| нечётное число́ ||  
|
|
|
|
|
|
|
|-
|-
|improper fraction
| 运算次序，运算顺序 ||
|fraction
| yùnsuàn cìxù, yùnsuàn shùnxù ||
|假分数
| Operatorpräzedenz [f], Operatorrangfolge [f] ||
|
| operator precedence, order of operation <mathematical logic> || basic operation; exponentiation; root extraction
|jiǎ fēnshù
| priorité [f] des opérations [f], ordre [m] des opérations [f] ||
|
| 演算子の優先順位 ||  
|unechter Bruch, uneigentlicher Bruch
| え↑んざ↓んしのゆ↑うせんじゅ↓んい ||  
|
| ||  
|
| приорите́т опера́ции, приорите́т опера́тора ||  
|
|
|
|
|
|
|
|-
|-
|independent variable, argument of a function
| 数量级 ||
|function (mathematics)
| shùliàng jí ||
|自变量
| Größenordnung [f] ||
|
| order of magnitude || logarithm
|zì biànliàng
| ordre [m] de grandeur ||
|
| 桁 ||  
|unabhängige Variable
| け↑た ||  
|
| ||  
|
| поря́док величи́ны ||  
|
|
|
|
|
|
|
|-
|-
|inequation
| 奇偶性 ||  
|inequality (mathematics)
| jī'ǒu xìng ||  
|不等式
| Parität [f] ||
|
| parity || natural number
|bùděng shì
| ||
|
|  ||  
|Ungleichung [f]
|  ||  
|
| ||  
|inéquation [f]
| ||  
|
|
|
|
|
|
|
|-
|-
|inequality (mathematics)
| 杨辉三角形，贾宪三角形，帕斯卡三角形，海亚姆三角形 ||  
|
| Yáng Huī sānjiǎoxíng, Jiǎ Xiàn sānjiǎoxíng, Pàsīkǎ sānjiǎoxíng, Hǎiyàmǔ sānjiǎoxíng ||  
|不等
| Pascal'sches Dreieck, Chayyām-Dreieck [n], Yang-Hui-Dreieck [n], Tartaglia-Dreieck [n] ||
|
| Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle || number (symbol); triangle <geometry>
|bù děng
| ||
|
|  ||  
|Ungleichheit [f]
|  ||  
|
| ||  
|inégalité [f]
| ||  
|
|
|
|
|
|
|
|-
|-
|integer
| 百分数 ||  
|natural number, negative number
| bǎifēn shù ||  
|整数
| Prozentsatz [m] ||
|
| percentage || fraction
|zhěng shù
| ||
|
|  ||  
|Ganzzahl [f], ganze Zahl
|  ||  
|
| ||  
|entier
| ||  
|
|
|
|
|
|
|
|-
|-
|inverse function, anti-function
| 进位制，进位计数法，位值计数法 ||  
|function (mathematics)
| jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ ||  
|反函数
| Stellenschreibweise [f] ||
|
| positional notation, place-value notation, positional numeral system || numeral system
|fǎn hánshù
|  ||  
|
| ||
|Umkehrfunktion [f], inverse Funktion
|  ||  
|
| ||  
|fonction [f] inverse
| ||  
|
|
|
|
|
|
|
|-
|-
|irrational number
| 正数 ||  
|rational number, real number
| zhèng shù ||  
|无理数
| positive Zahl ||
|
| positive number || number (abstract idea)
|wúlǐ shù
|  ||  
|
|  ||  
|irrationale Zahl
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|lattice multiplication
| 真分数 ||
|multiplication
| zhēn fēnshù ||
|格子乘法, 铺地锦算法
| echter Bruch, eigentlicher Bruch ||
|
| proper fraction || fraction
|gézi suànfǎ, pūdìjǐn suànfǎ
| fraction propre ||
|
| 真分数 ||  
|Gittermethode [f]
| し↑んぶ↓んすう ||  
|
| ||  
|
| пра́вильная дробь ||  
|
|
|
|
|
|
|
|-
|-
|less than
| ||
|inequality (mathematics)
| ||
|小于
| ||
|
| proportion || constant; sequence; ratio
|xiǎo yú
| ||
|
| ||  
|kleiner als
| ||  
|
| ||  
|inférieur à
| ||  
|
|
|
|
|
|
|
|-
|-
|less than or equal to
| ||
|inequality (mathematics), equality
| ||
|小于等于
| ||
|
| proportionality || proportion
|xiǎoyú děngyú
| ||
|
| ||  
|kleiner als oder gleich
| ||  
|
| ||  
|inférieur ou égal à
| ||  
|
|
|
|
|
|
|
|-
|-
|logarithm
| 底数（进制） ||  
|number, binary operation
| dǐ shù (jìn zhì) ||  
|对数
| Basis [f] (Zahlensystem) ||
|
| radix, base || positional notation
|duì shù
| ||
|
|  ||  
|Logarithmus [m]
|  ||  
|
| ||  
|logarithme [m]
| ||  
|
|
|
|
|
|
|
|-
|-
|long multiplication
| 小数点 ||  
|multiplication
| xiǎoshù diǎn ||  
|长乘法
| Radixpunkt [m] ||
|
| radix character || radix
|cháng chéngfǎ
|  ||  
|
|  ||  
|Standardmethode [f] der schriftlichen Multiplikation
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|minuend
| 比率，比值 ||  
|subtraction
| bǐ lǜ, bǐ zhí ||  
|被减数
| Verhältnis [n] ||
|
| ratio || number (abstract idea)
|bèijiǎn shù
|  ||  
|
|  ||  
|Minuend [m]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|minus sign
| 互反函数 ||  
|subtraction, negative number
| hùfǎn hánshù ||  
|减号
| Reziprokfunktion [f], reziproke Funktion ||
|
| reciprocal function || function; multiplicative inverse
|jiǎn hào
|  ||  
|
|  ||  
|Minuszeichen [n]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|mixed number
| 循环小数 ||
|fraction
| xúnhuán xiǎoshù ||
|带分数
| periodische Dezimalzahlen [f pl] ||
|
| repeating decimal, recurring decimal ||  
|dài fēnshù
| ||
|
| ||  
|gemischte Zahl
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|modular arithmetic
| 圆括号，括弧号 ||  
|integer
| yuán kuòhào, kuòhú hào ||  
|模算术
| runde Klammern [f pl] ||
|
| parentheses || operator precedence
|mó suànshù
|  ||  
|
|  ||  
|Modulararithmetik [f]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|much greater than
| ||
|inequality (mathematics)
| ||
|远大于
| ||
|
| significand || scientific notation
|yuǎn dàyú
| ||
|
| ||  
|viel größer als
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|much less than
| ||
|inequality (mathematics)
| ||
|远小于
| ||
|
| silver ratio, silver mean || ratio; addition; root extraction
|yuǎn xiǎoyú
| ||
|
| ||  
|viel weniger als
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|multiplicand
| 简分数 ||
|multiplication, operand
| jiǎn fēnshù ||
|被乘数
| gemeiner Bruch, gewöhnlicher Bruch ||
|
| simple fraction, common fraction, vulgar fraction || fraction
|bèichéng shù
|  ||  
|
| ||  
|Multiplikand [m]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|multiplication table
| 科学计数法 ||
|multiplication
| kēxué jìshù fǎ ||
|乘法表
| wissenschaftliche Notation ||
|
| scientific notation || significant figures; multiplication; exponentiation
|chéngfǎ biǎo
| ||
|
| ||  
|Einmaleins [n]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|multiplier
| 有效数字，有效数位 ||  
|multiplication, operand
| yǒuxiào shùzì, yǒuxiào shùwèi ||  
|乘数
| signifikante Stellen [f pl], signifikante Ziffern [f pl] ||
|
| significant figures, significant digits || rounding
|chéng shù
|  ||  
|
|  ||  
|Multiplikator [m]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|multiplication
| ||
|number, binary operation
|  ||
|乘法
| ||
|
| square number, perfect square || integer; square <algebra>
|chéng fǎ
| ||  
|
| ||  
|Multiplikation [f]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|multiplicative inverse, reciprocal
| 计数符号 ||  
|multiplication, reciprocation
| jìshù fúhào ||  
|乘法逆元, 倒数
| Strichliste [f] ||
|
| tally marks, hash marks || unary system; addition
|chéngfǎ nìyuán, dào shù
|  ||  
|
|  ||  
|Kehrwert [m]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|natural logarithm
| 特拉亨伯格速算系統 ||
|e (constant), logarithm
| Tèlāhēngbógé sùsuàn xìtǒng ||
|自然对数
| Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] ||
|
| Trachtenberg system || multiplication
|zìrán duìshù
|  ||  
|
| ||  
|natürlicher Logarithmus
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|Napier's rods, Napier's bones
| 单位分数 ||
|lattice multiplication
| dānwèi fēnshù ||
|纳皮尔筹
| Stammbruch [m] ||
|
| unit fraction || fraction
|Nàpí'ěr chóu
| ||
|
| ||  
|Napier'sche Rechenstäbchen, Neper'sche Rechenstäbchen
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|natural number, counting number
| 正整数的唯一分解定理，算术基本定理 ||
|number
| zhèngzhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ ||
|自然数
| Fundamentalsatz [m] der Arithmetik [f] ||
|
| unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic || prime number
|zìrán shù
| ||  
|
| ||  
|natürliche Zahl
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|negative number
| 零 ||
|number
| líng ||
|负数
| Null [f] ||
|
| zero || number (abstract idea)
|fù shù
| ||
|
| ||  
|negative Zahl
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|nomogram, nomograph
| ||
|analog computer
| ||
|列线图, 诺谟图
| ||
|
| zero to the power of zero || zero; exponentiation
|lièxiàn tú, nuòmò tú
| ||
|
| ||  
|Nomogramm [n], Nomographie [f]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|notation (mathematics)
| ||
|numeral, symbol (mathematics)
| ||
|符号（数学）
| ||
|
|  ||  
|fúhào (shùxué)
| ||
|
|  ||  
|Notation [f] (Mathematik)
| ||
|
|  ||  
|
|  ||  
|
|}
|
 
|
{| class="wikitable sortable"
|
|+ analog computer
|
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
|
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
|
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|non-negative number
| 模拟计算机 ||
|negative number
| mónǐ jìsuànjī ||
|非负数
| Analogrechner [m] ||
|
| analog computer || basic operation; logarithm; exponentiation
|fēifù shù
| ||
|
| ||  
|nichtnegative Zahl
| ||  
|
| رایانه قیاسی ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|non-positive number
| ||
|positive number
| ||
|非正数
| ||
|
|  ||  
|fēizhèng shù
| ||  
|
| ||  
|nichtpositive Zahl
| ||  
|
| ||  
|
|
|
|
|
|
|
|
|-
|-
|nth root
| 列线图，诺谟图 ||  
|binary operation
| lièxiàn tú, nuòmò tú ||  
|次方根
| Nomogramm [n], Nomographie [f] ||
|
| nomogram, nomograph || analog computer
|cìfāng gēn
|  ||  
|
|  ||  
|Wurzel [f] (Mathematik), Radikal [n] (Mathematik)
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|numeral
| 计算尺 ||  
|digit, symbol (mathematics)
| jìsuàn chǐ ||  
|数字
| Rechenschieber [m], Rechenstab [m] ||
|
| slide rule || analog computer
|shù zì
|  ||  
|
|  ||  
|Zahl [f], Ziffer [f]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|number
| ||
|numeral, object (mathematics)
| ||
|数字
| ||
|
|  ||  
|shù zì
| ||
|
|  ||  
|Zahl [f]
| ||
|
|  ||  
|
|}
|
 
|
{| class="wikitable sortable"
|
|+ arithmetic operand
|
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
|
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
|
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
|
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|number line
| 算术运算数，算术运算元 ||  
|line (geometry) <geometry>
| suànshù yùnsuànshù, suànshù yùnsuànyuán ||
|数轴, 数线
| arithmetischer Operand ||  
|
| arithmetic operand ||
|shù zhóu, shù xiàn
| opérandeopérande arithmétique ||  
|
| 算術演算子 ||
|Zahlengerade [f], Zahlenstrahl [m]
| さ↑んじゅつえんざ↓んし ||  
|
| ||  
|
| арифмети́ческий опера́нд ||  
|
|
|
|
|
|
|
|-
|-
|numeral system
| ||
|notation (mathematics)
| ||
|数制, 记数系统, 记数法
| ||
|
|  ||  
|shù zhì, jìshù xìtǒng, jìshù fǎ
| ||
|
| ||  
|Zahlensystem [n]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|numerator
| 加数 ||
|fraction, operand
| jiā shù ||
|分子
| Summand [m] ||
|
| addend, summand || addition; operand <mathematical logic>
|fēn zǐ
| cumulateur [m] ||
|
| 加数 ||  
|Zähler [m]
| か↑す↓う ||  
|
| جَمع وند، عامل جَمع ||  
|
| слага́емое ||  
|
|
|
|
|
|
|
|-
|-
|object (mathematics)
| ||
|
|  ||  
|物体（数学）
| ||
|
| antilogarithm ||  
|wù tǐ (shù xué)
| ||
|
| ||  
|Objekt [n] (Mathematik)
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|octal, oct
| 被加数 ||
|numeral system
| bèijiā shù ||
|八进制
| erster Summand ||
|
| augend, summand || addition; operand <mathematical logic>
|bā jìnzhì
| ||
|
| 被加数 ||  
|Oktalsystem [n]
| ひ↑か↓すう ||  
|
| مُوَلِفه دُوم جَمع اَعداد ||  
|
| пе́рвое слага́емое ||  
|
|
|
|
|
|
|
|-
|-
|odd number
| 底数（指数），基数（指数） ||
|natural number, division
| dǐshù (zhǐshù), jīshù (zhǐshù) ||
|奇数
| Basis [f] (Exponentiation) ||
|
| base (exponentiation) || exponentiation
|jī shù
| ||
|
| ||  
|ungerade Zahl
| ||  
|
| پایه (تَوان) ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|operand
| 底数（对数），基数（对数） ||
|operation (mathematics)
| dǐ shù (duì shù), jī shù (duì shù) ||  
|运算数, 运算元
| Basis [f] (Logarithmus) ||
|
| base (logarithm) || logarithm
|yùnsuàn shù, yùnsuàn yuán
|  ||  
|
|  ||  
|Operand [m]
|  ||  
|
| پایه (عَدَد لُگاریتمی) ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|operation (mathematics)
| 次方根 ||
|number
| cìfāng gēn ||
|运算
| Wurzelgrad [m] ||
|
| degree || nth root
|yùnsuàn
| degré [m] ||
|
| ||  
|Verknüpfung (Mathematik)
| ||  
|
| دَرَجه ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|operator precedence, order of operations
| 分母 ||
|basic operations, exponentiation, root extraction
| fēn mǔ ||
|运算次序, 运算顺序
| Nenner [m] ||
|
| denominator || fraction; operand <mathematical logic>
|yùnsuàn cìxù, yùnsuàn shùnxù
| dénominateur [m] ||
|
| 分母 ||  
|Operatorpräzedenz [f], Operatorrangfolge [f]
| ぶ↓んぼ ||  
|
| مَخرَج کَسر ||  
|
| знамена́тель [м] ||  
|
|
|
|
|
|
|
|-
|-
|parity
| 差 ||
|natural number
| chā ||
|奇偶性
| Differenz [f] ||
|
| difference || subtraction
|jī'ǒu xìng
| différence [f] ||
|
|  ||  
|Parität [f]
| ||  
|
| تَفاضُل ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle
| 被除数 ||
|triangle <geometry>
| bèichú shù ||
|杨辉三角形, 贾宪三角形, 帕斯卡三角形, 海亚姆三角形
| Dividend [m] ||
|
| dividend || fraction; operand <mathematical logic>
|Yáng Huī sānjiǎoxíng, Jiǎ Xiàn sānjiǎoxíng, Pàsīkǎ sānjiǎoxíng, Hǎiyàmǔ sānjiǎoxíng
| dividende [m] ||  
|
| ||  
|Pascal'sches Dreieck, Chayyām-Dreieck, Yang-Hui-Dreieck, Tartaglia-Dreieck
| ||  
|
| مَقسوم ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication
| 除数 ||
|multiplication
| chú shù ||
|农夫算法
| Divisor [m] ||
|
| divisor || division; operand <mathematical logic>
|nóngfū suànfǎ
| diviseur [m] ||
|
| ||  
|russische Bauernmultiplikation
| ||  
|
| مَقسوم عَلیه ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|percentage
| 幂，指数 ||
|fraction
| mì, zhǐ shù ||
|百分数
| Hochzahl [f], Exponent [m] ||
|
| exponent || exponentiation
|bǎifēn shù
| exposant [m] ||
|
|  ||  
|Prozentsatz [m]
| ||  
|
| نَما، قُوه، تَوان ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|percent sign
| ||
|percentage
| ||
|百分号
| ||
|
| logarithm (operand) ||  
|bǎifēn hào
| ||
|
| ||  
|Prozentzeichen [n]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|pi, Archimedes' constant
| 被减数 ||  
|constant (mathematics), ratio, circumstance <geometry>, diameter <geometry>
| bèijiǎn shù ||  
|圆周率
| Minuend [m] ||
|
| minuend || subtraction
|yuánzhōu lǜ
|  ||  
|
|  ||  
|Pi [n], Kreiszahl [f]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|plus sign
| 被乘数 ||  
|addition, positive number
| bèichéng shù ||  
|加号
| Multiplikand [m] ||
|
| multiplicand, factor || multiplication; operand <mathematical logic>
|jiā hào
|  ||  
|
|  ||  
|Pluszeichen [n]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|positional notation, place-value notation, positional numeral system
| 乘数 ||  
|numeral system
| chéng shù ||  
|进位制, 进位计数法, 位值计数法
| Multiplikator [m] ||
|
| multiplier, factor || multiplication; operand <mathematical logic>
|jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ
|  ||  
|
|  ||  
|Stellenschreibweise [f]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|positive number
| 分子 ||
|number
| fēn zǐ ||
|正数
| Zähler [m] ||
|
| numerator || fraction; operand <mathematical logic>
|zhèng shù
| ||
|
| ||  
|positive Zahl
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|prime number, prime
| ||
|product (mathematics), natural number
| ||
|质数, 素数
| ||
|
| power ||  
|zhì shù, sù shù
| ||
|
| ||  
|Primzahl [f]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|product (mathematics)
| 积 ||  
|multiplication
| jī ||  
|积
| Produkt [n] ||
|
| product || multiplication
|jī
|  ||  
|
|  ||  
|Produkt [n] (Mathematik)
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|proper fraction
| 商 ||
|fraction
| shāng ||
|真分数
| Quotient [f] ||
|
| quotient || division
|zhēn fēnshù
| ||
|
| ||  
|echter Bruch, eigentlicher Bruch
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|quotient
| ||
|division
| ||
|商
| ||
|
| radicant ||  
|shāng
| ||
|
| ||  
|Quotient [f]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|radix, base
| 余数 ||  
|positional notation
| yú shù ||  
|底数（进制）
| Rest [m], Teilungsrest [m] ||
|
| remainder || division with remainder
|dǐ shù (jìn zhì)
|  ||  
|
|  ||  
|Basis [f] (Zahlensystem)
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|radix character
| 根 ||  
|radix
| gēn ||  
|小数点
| Wurzel [f] ||
|
| root || nth root
|xiǎoshù diǎn
|  ||  
|
|  ||  
|Radixpunkt [m]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|ratio
| 减数 ||  
|number
| jiǎn shù ||  
|比率, 比值
| Subtrahend [m] ||
|
| subtrahend || subtraction
|bǐ lǜ, bǐ zhí
|  ||  
|
|  ||  
|Verhältnis [n]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|rational number
| 和 ||
|fraction, integer
| hé ||
|有理数
| Summe [f] ||
|
| sum || addition
|yǒulǐ shù
| ||
|
| ||  
|rationale Zahl
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|real axis
| ||
|real line
| ||
|实轴
| ||
|
|  ||  
|shí zhóu
| ||
|
|  ||  
|reelle Achse
| ||
|
|  ||  
|
|  ||  
|
|}
|
 
|
{| class="wikitable sortable"
|
|+ arithmetic operation
|
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
|
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
|
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|real line
| ||
|line (geometry) <geometry>, point (geometry) <geometry>, real number
| ||
|实数线
| ||
|
| arithmetic operation || binary operation
|shíshù xiàn
| ||
|
| ||  
|reelle Linie
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|real number
| ||
|rational number
| ||
|实数
| ||
|
|  ||  
|shí shù
| ||
|
| ||  
|reelle Zahl
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|reciprocal function
| 加法 ||
|function, multiplicative inverse
| jiā fǎ ||
|互反函数
| Addition [f] ||
|
| addition || number (abstract idea); binary operation <mathematical logic>
|hùfǎn hánshù
| addition [f] ||
|
|  ||  
|Reziprokfunktion [f], reziproke Funktion
| ||  
|
| جَمع ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|relation (mathematics)
| 除法 ||
|set (mathematics) <set theory>
| chú fǎ ||
|关系（数学）
| Division [f] ||
|
| division || number (abstract idea); binary operation <mathematical logic>
|guānxi (shù xué)
| division [f] ||
|
|  ||  
|Relation [f] (Mathematik)
| ||  
|
| تَقسیم ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|remainder
| 幂运算，指数运算 ||  
|division with remainder
| mì yùnsuàn, zhǐshù yùnsuàn ||  
|余数
| Potenz [f] ||
|
| exponentiation || number (abstract idea); binary operation <mathematical logic>
|yú shù
|  ||  
|
|  ||  
|Rest [m], Teilungsrest [m]
|  ||  
|
| تَوان ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|root (mathematics)
| 带余除法，欧几里德除法 ||  
|nth root
| dàiyú chúfǎ, Ōujīlǐdé chúfǎ ||  
|根
| Division [f] mit Rest [m] ||
|
| division with remainder, Euclidean division || division
|gēn
|  ||  
|
|  ||  
|Wurzel [f]
|  ||  
|
| تَقسیم بَر باقیمانده، تَقسیم اُقلیدُسی ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|root extraction
| 对数 ||
|nth root
| duì shù ||
|开方
| Logarithmus [m] ||
|
| logarithm (operation) || number (abstract idea); binary operation <mathematical logic>
|kāi fāng
| logarithme [m] ||
|
|  ||  
|Radizieren [n]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|parentheses
| 乘法 ||  
|operator precedence
| chéng fǎ ||  
|圆括号, 括弧号
| Multiplikation [f] ||
|
| multiplication || number (abstract idea); binary operation <mathematical logic>
|yuán kuòhào, kuòhú hào
|  ||  
|
|  ||  
|runde Klammern [f,pl]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|simple fraction, common fraction, vulgar fraction
| 次方根 ||  
|fraction
| cìfāng gēn ||  
|简分数
| Wurzel [f] , Radikal [n] ||
|
| nth root || binary operation <mathematical logic>
|jiǎn fēnshù
|  ||  
|
|  ||  
|gemeiner Bruch, gewöhnlicher Bruch
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|slide rule
| 开方 ||  
|analog computer
| kāi fāng ||  
|计算尺
| Radizieren [n] ||
|
| root extraction || nth root
|jìsuàn chǐ
|  ||  
|
|  ||  
|Rechenschieber [m], Rechenstab [m]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|subtraction
| 减法 ||  
|number, binary operation
| jiǎn fǎ ||  
|减法
| Subtraktion [f], Abziehen [n], Abzug [m] ||
|
| subtraction || number (abstract idea); binary operation <mathematical logic>
|jiǎn fǎ
|  ||  
|
|  ||  
|Subtraktion [f], Abziehen [n], Abzug [m]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|subtrahend
| ||
|subtraction
| ||
|被减数
| ||
|
|  ||  
|bèijiǎn shù
| ||
|
|  ||  
|Subtrahend [m]
| ||
|
|  ||  
|
|  ||  
|
|}
|
 
|
{| class="wikitable sortable"
|
|+ arithmetic symbol
|
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
|
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
|
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|sum
| 算术符号 ||
|addition
| suànshù fúhào ||
|和
| arithmetisches Symbol ||
|
| arithmetic symbol ||  
|hé
| ||
|
| ||  
|Summe [f]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|symbol (mathematics)
| ||
|
|  ||  
|符号（数学）
| ||
|
|  ||  
|fúhào (shù xué)
| ||
|
| ||  
|Symbol [n] (Mathematik)
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|tally marks, hash marks
| ||
|unary system, addition
| ||
|计数符号
| ||
|
| division sign ||  
|jìshù fúhào
| ||
|
| ||  
|Strichliste [f]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|Trachtenberg system
| 减号 ||  
|multiplication
| jiǎn hào ||  
|特拉亨伯格速算系統
| Minuszeichen [n] ||
|
| minus sign || subtraction; negative number
|Tèlāhēngbégé sùsuàn xìtǒng
|  ||  
|
|  ||  
|Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|unary system
| ||
|numeral system
| ||
|一进制
| ||
|
| multiplication sign ||  
|yī jìnzhì
| ||
|
| ||  
|Unärsystem [n]
| ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|unit fraction
| 百分号 ||  
|fraction
| bǎifēn hào ||  
|单位分数
| Prozentzeichen [n] ||
|
| percent sign || percentage
|dānwèi fēnshù
|  ||  
|
|  ||  
|Stammbruch [m]
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic
| 加号 ||  
|prime number
| jiā hào ||  
|正整数的唯一分解定理, 算术基本定理
| Pluszeichen [n] ||
|
| plus sign || addition; positive number
|zhèng zhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ
|  ||  
|
|  ||  
|Fundamentalsatz [m] der Arithmetik
|  ||  
|
| ||  
|
| ||  
|
|
|
|
|
|
|
|-
|-
|zero
| ||
|number
|  ||
|零
|  ||
|
|  ||
|líng
|  ||
|
|  ||
|Null [f]
|  ||
|
|  ||
|
|  ||
|
|}
|
 
|
{| class="wikitable sortable"
|
|+ mechanical calculator
|
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
|
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
|
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| 机械计算器 ||
| jīxiè jìsuànqì ||
| Rechenmaschine [f] ||
| mechanical calculator, calculating machine || basic operation
| calculatrice [f] mécanique, machine [f] à calculer, machine [f] arithmétique ||
| 機械式計算機 ||
| き↓かいしきけ↑いさ↓んき ||
|  ||
| вычисли́тельная маши́на, счётная маши́на ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 算盘 ||
| suàn pan ||
| Abakus [m] ||
| abacus || mechanical calculator
|  ||
|  ||
|  ||
| چُرتکه ||
|  ||
|-
| 滚轮式加法器，帕斯卡计算器 ||
| gǔnlúnshì jiāfǎqì, Pàsīkǎ jìsuànqì ||
| Pascaline [f] ||
| Pascal's calculator, arithmetic machine, Pascaline || machine calculator
| pascaline [f], machine [f] d’arithmétique, roue [f] pascaline ||
| パスカリン ||
| パ↑スカ↓リン ||
|  ||
| суммирующая машина Паска́ля, Паскали́на ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ multiplication algorithm
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| multiplication algorithm ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 格子乘法，铺地锦算法 ||
| gézi chéngfǎ, pūdìjǐn suànfǎ ||
| Gittermethode [f] ||
| lattice multiplication || multiplication
| multiplication [f] par jalousies [f pl] ||
| 格子掛け算 ||
| こ↑うしかけ↓ざん ||
|  ||
| решёточное умноже́ние ||
|-
| 长乘法 ||
| cháng chéngfǎ ||
| Standardmethode [f] der schriftlichen Multiplikation ||
| long multiplication || multiplication
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 农夫算法 ||
| nóngfū suànfǎ ||
| russische Bauernmultiplikation ||
| peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication || multiplication
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ number system
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| number system ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| algebraic number || complex number; root <algebra>
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 复数 ||
| fù shù ||
| komplexe Zahl ||
| complex number || imaginary number; real number
| nombre [m] complexe ||
|  ||
|  ||
| اَعدادِ مُختَلِط ||
|  ||
|-
| 合数，合成数 ||
| hé shù, héchéng shù ||
| zusammengesetzte Zahl ||
| composite number || division; natural number
|  ||
|  ||
|  ||
| عَدَد مُرَکَب، عَدَد غِیر اَول ||
|  ||
|-
| 分数 ||
| fēn shù ||
| Bruch [m] ||
| fraction || division; integer
| fraction [f] ||
|  ||
|  ||
| کَسر ||
|  ||
|-
| 虚数 ||
| xū shù ||
| imaginäre Zahl ||
| imaginary number || negative number; exponentiation
| nombre [m] imaginaire ||
|  ||
|  ||
|  ||
|  ||
|-
| 整数 ||
| zhěng shù ||
| Ganzzahl [f], ganze Zahl ||
| integer || natural number; negative number
| entier ||
|  ||
|  ||
|  ||
|  ||
|-
| 无理数 ||
| wúlǐ shù ||
| irrationale Zahl ||
| irrational number || rational number; real number
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 自然数 ||
| zìrán shù ||
| natürliche Zahl ||
| natural number, counting number || number (abstract idea)
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 质数，素数 ||
| zhì shù, sù shù ||
| Primzahl [f] ||
| prime number, prime || product; natural number
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 有理数 ||
| yǒulǐ shù ||
| rationale Zahl ||
| rational number || fraction; integer
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 实数 ||
| shí shù ||
| reelle Zahl ||
| real number || rational number
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| transcendental number || algebraic number
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ numeral system
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| 数制，记数系统，记数法 ||
| shù zhì, jìshù xìtǒng, jìshù fǎ ||
| Zahlensystem [n] ||
| numeral system || notation <linguistics>
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 二进制 ||
| èrjìn zhì ||
| Dualsystem [n], Zweiersystem [n], Binärsystem [n] ||
| binary system || numeral system
| système [m] binaire ||
|  ||
|  ||
| سیستِم باینِری ||
|  ||
|-
| 十进制 ||
| shíjìn zhì ||
| Dezimalsystem [n], Zehnersystem [n], dekadisches System ||
| decimal, base-ten || integer
|  ||
|  ||
|  ||
| دِسیمال، اَعداد بَر پایه دَه ||
|  ||
|-
| 十六进制 ||
| shíliùjìn zhì ||
| Hexadezimalsystem [n], Sedezimalsystem [n] ||
| hexadecimal, base 16, hex || numeral system
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 八进制 ||
| bājìn zhì ||
| Oktalsystem [n] ||
| octal, oct || numeral system
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 一进制 ||
| yījìn zhì ||
| Unärsystem [n] ||
| unary system || numeral system
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ rounding
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
| 数值修约 ||
| shùzhí xiūyuē ||
| Runden [n], Rundung [f] ||
| rounding || decimal representation
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 无条件简化 ||
| wútiáojiàn jiǎnhuà ||
|  ||
| direct rounding || rounding up; rounding down; rounding towards zero; rounding away from zero
|  ||
|  ||
|  ||
| رُند کَردن ||
|  ||
|-
| 向无穷取整 ||
| xiàng wúqióng qǔzhěng ||
| Wegrunden [n] von Null [f] ||
| rounding away from zero, rounding towards infinity || rounding
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| 向下取整 ||
| xiàng xià qǔzhěng ||
| Abrunden [n] ||
| rounding down, rounding towards negative infinity || rounding
|  ||
|  ||
|  ||
|  ||
| ||
|-
| 向零取整 ||
| xiàng líng qǔzhěng ||
| Runden [n] gegen Null [f] ||
| rounding towards zero, rounding away from infinity || rounding
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| xiàng shàng qǔzhěng ||
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{| class="wikitable sortable"
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! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
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{| class="wikitable sortable"
|+ theorem about prime numbers
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! pes-Aran-IR: مَفهوم !! pes-Aran-IR: پیش‌نیاز
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
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== Algebraic Number Theory ==
== Algebraic Number Theory ==
{| class="wikitable"
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!eng-Latn-US: concept
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
!eng-Latn-US: prerequisite
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
!cmn-Hans-CN: 概念
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
!cmn-Hans-CN: 前提
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
!cmn-Latn.Pinyin-CN: gàiniàn
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
!cmn-Latn.Pinyin-CN: qiántí
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
!deu-Latn-DE: Begriff [m]
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
!deu-Latn-DE: Voraussetzung [f]
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
!fra-Latn-FR: concept [m]
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!fra-Latn-FR: préalable [m]
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== Analytic Number Theory ==
== Analytic Number Theory ==
{| class="wikitable"
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!eng-Latn-US: concept
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
!eng-Latn-US: prerequisite
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
!cmn-Hans-CN: 概念
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
!cmn-Hans-CN: 前提
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
!cmn-Latn.Pinyin-CN: gàiniàn
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
!cmn-Latn.Pinyin-CN: qiántí
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
!deu-Latn-DE: Begriff [m]
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
!deu-Latn-DE: Voraussetzung [f]
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
!fra-Latn-FR: concept [m]
!fra-Latn-FR: préalable [m]
!jpn-Hrkt-JP
!jpn-Hrkt-JP:
!jpn-Jpan-JP:前提
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[[File:2341px-Sierpinski_Pascal_triangle.svg.png]]
{| class="wikitable sortable"
 
|+ theorems in analytic number theory
== * Related Free Educational Resources * ==
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
{| class="wikitable"
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
!name
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
!link
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
!language
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
!public license
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
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| theorems in analytic number theory ||
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|Arithmetic Game
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|https://arithmetic.zetamac.com/
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|English
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|Number Empire
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|https://www.numberempire.com/
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|Chinese, Dutch, English, French, German, Italian, Japanese, Korean, Polish, Portuguese, Russian, Spanish
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| prime number theorem || prime number; asymptotic analysis
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|Wolfram<nowiki>|</nowiki>Alpha
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|https://www.wolframalpha.com/
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<center>
https://upload.wikimedia.org/wikipedia/commons/thumb/8/87/Sierpinski_Pascal_triangle.svg/2341px-Sierpinski_Pascal_triangle.svg.png
</center>
{{Sci-Tech-Index-Menu}}
==Other Lessons==
* [[Language/Multiple-languages/Vocabulary/Tribology|Tribology]]
* [[Language/Multiple-languages/Vocabulary/Probability-Theory|Probability Theory]]
* [[Language/Multiple-languages/Vocabulary/Emotions-in-many-languages|Emotions in many languages]]
* [[Language/Multiple-languages/Vocabulary/Greetings-Afternoon-greeting|Greetings Afternoon greeting]]
* [[Language/Multiple-languages/Vocabulary/Collocations-with-Save|Collocations with Save]]
* [[Language/Multiple-languages/Vocabulary/Cinema-in-many-languages|Cinema in many languages]]
* [[Language/Multiple-languages/Vocabulary/Greetings-Where-are-you-going|Greetings Where are you going]]
* [[Language/Multiple-languages/Vocabulary/Information-Theory|Information Theory]]
* [[Language/Multiple-languages/Vocabulary/Collocations-with-take|Collocations with take]]
* [[Language/Multiple-languages/Vocabulary/Comparative-Etymology|Comparative Etymology]]
<span links></span>

Latest revision as of 13:11, 27 March 2023

Hello polyglots, 😀

On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.

cmn-Hans-CN: 科目 cmn-Latn.Pinyin-CN: kēmù deu-Latn-DE: Fach [n] eng-Latn-US: subject fra-Latn-FR: matière [f] jpn-Jpan-JP: 科目 jpn-Hrkt-JP: か↑もく pes-Aran-IR: رِشته rus-Cyrl-RU: предме́т
算术 suàn shù Arithmetik [f] arithmetic arithmétique [f] 算数，算術 さ↑んす↓う，さ↑んじゅつ علمِ حِساب‎ арифме́тика
代数数论 dàishù shùlùn algebraische Zahlentheorie algebraic number theoryarithmetic; algebra théorie [f] algébrique des nombres 代数的整数論 だ↑いすうてき↓せ↑いす↓うろん نَظَریه جَبری اَعداد алгебраи́ческая тео́рия чи́сел
解析数论 jiěxī shùlùn analytische Zahlentheorie analytic number theoryarithmetic; mathematical analysis théorie [f] analytique des nombres 解析的整数論，解析数論 か↑いせきてき↓せ↑いす↓うろん，か↑いせきす↓うろん نَظَریه تَحلیل اَعداد аналити́ческая тео́рия чи́сел

Arithmetic[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい pes-Aran-IR: مَفهوم pes-Aran-IR: پیش‌نیاز rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
绝对值，模 juéduì zhí, mó Absolutbetrag [m], absoluter Betrag, Absolutwert [m], absoluter Wert absolute value, modulus real number valeur absolue, module [m] 絶対値，母数 ぜ↑った↓いち，ぼ↑す↓う قَدرِ مُطلَق абсолю́тная величина́, мо́дуль [м]
加法逆元，相反数 jiāfǎ nìyuán, xiāngfǎn shù Gegenzahl [f] additive inverse, opposite, negation addition; number (abstract idea) opposé [m] 反数 は↓んすう وارون اَفزایِِشی противополо́жное число́
四则运算 sìzé yùnsuàn Grundrechnungsarten [f pl], Grundrechenarten [f pl] basic operation addition; division; multiplication; subtraction چهار عَمَل اَصلی
以二为底的对数 yǐ èr wéi dǐ de duìshù binärer Logarithmus, dualer Logarithmus binary logarithm logarithm logarithme [m] binaire لُگاریتم باینِری، لُگاریتم دو دویی
指算法 zhǐsuàn fǎ Chisanbop [n] chisanbop addition; subtraction 指算法 ゆ↑びさ↓んぽう مُحاسِبه اَنگُشتی
公差 gōng chā common difference arithmetic progression; difference <number theory> 公差 こ↓うさ
公比 gōng bǐ common ratio geometic progression; ratio <number theory> 公比 こ↓うひ
共轭复数 gòng'è fùshù komplexe Konjugation complex conjugate complex number conjugué [m] 複素共役 ふ↑くそきょ↓うやく сопряжённые чи́сла
常数，定数 cháng shù, dìng shù Konstante [f], Festwert [m] constant number (abstract idea) constante [f] 定数，常数 て↑いす↓う，じょ↑うす↓う ثابِت постоя́нная, конста́нта
连分数，繁分数 lián fēnshù, fán fēnshù Kettenbruch [m] continued fraction integer part; multiplicative inverse fraction continue 連分数 れ↑んぶ↓んすう непреры́вная дробь [ж], цепна́я дробь [ж]
互质数 hùzhì shù teilerfremde Zahlen [f pl] coprime numbers, relatively prime numbers, mutually prime numbers prime number; divisor nombres [m pl] premiers entre eux 互いに素 た↑がいに↓そ взаи́мно просты́е чи́сла
算筹，算子 suàn chóu, suàn zǐ Zählstäbe [m pl] counting rods basic operation baguettes [f pl] à calculer 算木，算籌 さ↓んぎ，さん↓ちゅう میله های شُمارِش счётные па́лочки
古氏积木 Gǔshì jīmù Cuisenaire-Stäbchen [n pl] Cuisenaire rods basic operations réglettes [f pl] Cuisenaire
小数 xiǎo shù Dezimalbruch [m], Zehnerbruch [m] decimal fraction decimal representation fraction décimale 小数 しょ↑うす↓う десяти́чная дробь [ж]
常用对数 chángyòng duìshù dekadischer Logarithmus, Zehnerlogarithmus [m] decimal logarithm, common logarithm logarithm لُگاریتم بَر پایه دَه
小数表示法 xiǎoshù biǎoshì fǎ Dezimaldarstellung [f] decimal representation number (symbol) développement décimal 小数表記法 しょ↑うすうひょ↓うきほう نَمایِِش اَعشاری، نَمایش دَهدَهی десяти́чное представле́ние
小数点 xiǎoshù diǎn Dezimaltrennzeichen [n] decimal separator decimal representation; radix character séparateur décimal 小数点 しょ↑うす↓うてん مُمَیِِز десяти́чный раздели́тель [м], десяти́чная то́чка, десяти́чная запята́я
数字（单个符号） shù zì (dāngè fúhào) Ziffer [f] digit number (abstract idea); symbol chiffre [m] (symbole individuel) 数字（個々の符号） す↑うじ（こ↓このふ↑ごう） رَقَم ци́фра
正比例 zhèng bǐlì direkte Proprotionalität direct proportionality proportionality proportionnalité directe 正比例 せ↑いひ↓れい пряма́я пропорциона́льность [ж]
丢番图逼近 Diūfāntú bījìn diophantische Approximation Diophantine approximation real number approximation diophantienne ディオファントス近似 ディ↑オファントスき↓んじ диофа́нтово приближе́ние
除以零 chú yǐ líng Division [f] durch Null [f] division by zero division; zero division [f] par zéro تَقسیم بَر صِفر
埃及分数 Āijí fēnshù Stammbruchzerlegung [f] Egyptian fraction unit fraction fraction égyptienne エジプト式分数，エジプト分数 エ↑ジプトしきぶ↓んすう，エ↑ジプトぶ↓んすう کَسر مِصری еги́петская дробь
工程计数法 gōngchéng jìshù fǎ technische Notation engineering notation scientific notation notation [f] ingénieur نَماد مُهَندِسی инжене́рная нота́ция
欧几里得引理 Ōujīlǐdé yǐnlǐ Lemma [n] von Euklid Euclid's lemma prime number lemme [m] d'Euclide ユークリッドの補題 ユ↑ークリ↓ッドのほ↑だい لِم اُقلیدُس، بُرهانِ کُمَکی اُقلیدُس ле́мма Евкли́да
自然常数，自然底数，欧拉常数 zìrán chángshù, zìrán dǐshù, Ōulā chángshù eulersche Zahl Euler's number, e constant nombre [m] d'Euler, constante [f] de Néper, nombre [m] e ネイピア数，オイラー数 ネ↑イピア↓すう，オ↑イラ↓ーすう عَدَد اویلِر число́ Э́йлера, число́ e
偶数 ǒu shù gerade Zahl even number natural number; division nombre pair 偶数 ぐ↑うす↓う عَدَد زوج чётное число́
二进制指算法 èrjìnzhì zhǐsuànfǎ binär zählen mit Fingern [m pl] finger binary addition; subtraction; binary system 二進指数え法 に↑しんゆびかぞえほ↓う مُحاسِبه اَنگُشتی باینِری، مُحاسِبه اَنگُشتی دودویی
因式分解 yīnshì fēnjiě Faktorisierung [f] factorization, factoring mathematical object <mathematical logic> factorisation [f] فاکتورسازی
有限连分数 yǒuxiàn liánfēnshù endlicher Kettenbruch finite continued fraction, terminated continued fraction continued fraction; infinity fraction continue finie 有限連分数 ゆ↑うげんれんぶ↓んすう коне́чная цепна́я дробь [ж]
黄金比例，黄金分割率，黄金分割比 huángjīn bǐlì, huángjīn fēngē lǜ, huángjīn fēngē bǐ Goldener Schnitt golden ratio ratio; addition; root extraction nombre [m] d'or [m], section dorée, proportion dorée 黄金比 お↑うご↓んひ золото́е сече́ние, золота́я пропо́рция
最大公因数，最大公约数 zuìdà gōngyīnshù, zuìdà gōngyuēshù größter gemeinsamer Teiler greatest common divisor, highest common divisor, greatest common factor integer; division plus grand commun diviseur 最大公約数 さ↑いだいこうやく↓すう наибо́льшим о́бщим дели́телем
虚数单位 xūshù dānwèi imaginäre Einheit imaginary unit, unit imaginary number imaginary number unité imaginaire 虚数単位 きょ↑すうた↓んい мни́мая едини́ца
假分数 jiǎ fēnshù unechter Bruch, uneigentlicher Bruch improper fraction fraction fraction impropre 仮分数 か↑ぶ↓んすう непра́вильные дро́би
无限连分数 wúxiàn liánfēnshù unendlicher Kettenbruch infinite continued fraction continued fraction; infinity fraction continue infinie 無限連分数 む↑げんれんぶ↓んすう бесконе́чная цепна́я дробь [ж]
无穷 wúqióng Unendlichkeit [f] infinity number (abstract idea) infini [m] 無限 む↑げん бесконе́чность
反函数 fǎn hánshù Umkehrfunktion [f], inverse Funktion inverse function, anti-function function <mathematical logic>; inverse mapping fonction [f] réciproque 逆函数 ぎゃ↑くか↓んすう обра́тная фу́нкция
逆映射 nì yìngshè inverse Abbildung, Umkehrabbildung [f] inverse mapping mapping bijection [f] réciproque 逆写像 ぎゃ↑くしゃ↓ぞう обра́тное отображе́ние
反比例 fǎn bǐlì umgekehrte Proportionalität, Antiproportionalität [f], indirekte Proportionalität inverse proportionality proportionality proportionnalité inverse 反比例 は↑んぴれい обра́тная пропорциона́льность
最简分数，既约分数 zuìjiǎn fēnshù, jìyuē fēnshù gekürzter Bruch irreducible fraction, fraction in lowest terms, simplest form, reduced fraction fraction; coprime integer fraction [f] irréductible 既約分数 き↑やくぶ↓んすう несократи́мая дробь
最小公分母 zuìxiǎo gōngfēnmǔ Hauptnenner [m] least common denominator, lowest common denominator least common multiple plus petit dénominateur commun 最小公分母 さ↑いしょうこうぶ↓んぼ наиме́ньший о́бщий знамена́тель
最小公倍数 zuìxiǎo gōngbèishù kleinstes gemeinsames Vielfaches least common multiple, lowest common multiple, smallest common multiple integer; division; denominator plus petit commun multiple, plus petit multiple commun 最小公倍数 さ↑いしょうこうば↓いすう наиме́ньшее о́бщее кра́тное
长除法 cháng chúfǎ Standardmethode [f] der schriftlichen Division [f] long division division division posée 長除法 ちょ↑うじょほう деле́ние сто́лбиком
带分数 dài fēnshù gemischte Zahl mixed number fraction nombre [m] mixte 帯分数 た↑いぶ↓んすう сме́шанное число́
模算术 mó suànshù Modulararithmetik [f] modular arithmetic integer arithmétique [f] modulaire 合同算術 ご↑うどうさ↓んじゅつ мо́дульную арифме́тику, модуля́рную арифметику
乘法表 chéngfǎ biǎo Einmaleins [n] multiplication table multiplication table [f] de multiplication 九九 く↓く табли́ца умноже́ния, табли́ца Пифаго́ра
乘法逆元，倒数 chéngfǎ nìyuán, dào shù Kehrwert [m], reziprokes Wert, Reziproke [n] multiplicative inverse, reciprocal multiplication; reciprocation inverse [m] 逆数 ぎゃ↑くす↓う обра́тное число́
纳皮尔筹 Nàpí'ěr chóu Napier'sche Rechenstäbchen [n pl], Neper'sche Rechenstäbchen [n pl] Napier's rods, Napier's bones lattice multiplication bâton [m] de Napier, réglette [f] de Neper ネイピアの骨 ネ↓イピアのほ↑ね па́лочки Не́пера, не́перовы па́лочки
自然对数 zìrán duìshù natürlicher Logarithmus natural logarithm Euler's number; logarithm logarithme naturel, logarithme népérien 自然対数 し↑ぜんた↓いすう натура́льный логари́фм
负数 fù shù negative Zahl negative number number (abstract idea) nombre [m] négatif 負の数 ふ↓のすう отрица́тельное число́
非负数 fēifù shù nichtnegative Zahl non-negative number negative number nombre [m] non négatif 負でない数 ふ↓で↑な↓いすう неотрица́тельное число́
非正数 fēizhèng shù nichtpositive Zahl non-positive number positive number nombre [m] non positif 正でない数 せ↓いで↑な↓いすう неположи́тельное число́
数 shù Zahl [f] (abstrakte Identität) number (abstract identity) mathematical object <mathematical logic> nombre [m] 数 か↓ず число́ (абстра́ктная иденти́чность [ж])
数字（整个符号） shù zì (zhěnggè fúhào) Zahl [f] (Symbol) number (symbol), numeral digit chiffre [m] (symbole entier) 数字 す↑うじ число́ (си́мвол)
数轴，数线 shù zhóu, shù xiàn Zahlengerade [f], Zahlenstrahl [m] number line line <geometry> ligne [f] numérique 数直線 す↑うちょ↓くせん числова́я ось, числова́я пряма́я
奇数 jī shù ungerade Zahl odd number natural number; division nombre impair 奇数 き↑す↓う нечётное число́
运算次序，运算顺序 yùnsuàn cìxù, yùnsuàn shùnxù Operatorpräzedenz [f], Operatorrangfolge [f] operator precedence, order of operation <mathematical logic> basic operation; exponentiation; root extraction priorité [f] des opérations [f], ordre [m] des opérations [f] 演算子の優先順位 え↑んざ↓んしのゆ↑うせんじゅ↓んい приорите́т опера́ции, приорите́т опера́тора
数量级 shùliàng jí Größenordnung [f] order of magnitude logarithm ordre [m] de grandeur 桁 け↑た поря́док величи́ны
奇偶性 jī'ǒu xìng Parität [f] parity natural number
杨辉三角形，贾宪三角形，帕斯卡三角形，海亚姆三角形 Yáng Huī sānjiǎoxíng, Jiǎ Xiàn sānjiǎoxíng, Pàsīkǎ sānjiǎoxíng, Hǎiyàmǔ sānjiǎoxíng Pascal'sches Dreieck, Chayyām-Dreieck [n], Yang-Hui-Dreieck [n], Tartaglia-Dreieck [n] Pascal's triangle, Khayyam triangle, Yang Hui's triangle, Tartaglia's triangle number (symbol); triangle <geometry>
百分数 bǎifēn shù Prozentsatz [m] percentage fraction
进位制，进位计数法，位值计数法 jìnwèi zhì, jìnwèi jìshù fǎ, wèizhí jìshù fǎ Stellenschreibweise [f] positional notation, place-value notation, positional numeral system numeral system
正数 zhèng shù positive Zahl positive number number (abstract idea)
真分数 zhēn fēnshù echter Bruch, eigentlicher Bruch proper fraction fraction fraction propre 真分数 し↑んぶ↓んすう пра́вильная дробь
proportion constant; sequence; ratio
proportionality proportion
底数（进制） dǐ shù (jìn zhì) Basis [f] (Zahlensystem) radix, base positional notation
小数点 xiǎoshù diǎn Radixpunkt [m] radix character radix
比率，比值 bǐ lǜ, bǐ zhí Verhältnis [n] ratio number (abstract idea)
互反函数 hùfǎn hánshù Reziprokfunktion [f], reziproke Funktion reciprocal function function; multiplicative inverse
循环小数 xúnhuán xiǎoshù periodische Dezimalzahlen [f pl] repeating decimal, recurring decimal
圆括号，括弧号 yuán kuòhào, kuòhú hào runde Klammern [f pl] parentheses operator precedence
significand scientific notation
silver ratio, silver mean ratio; addition; root extraction
简分数 jiǎn fēnshù gemeiner Bruch, gewöhnlicher Bruch simple fraction, common fraction, vulgar fraction fraction
科学计数法 kēxué jìshù fǎ wissenschaftliche Notation scientific notation significant figures; multiplication; exponentiation
有效数字，有效数位 yǒuxiào shùzì, yǒuxiào shùwèi signifikante Stellen [f pl], signifikante Ziffern [f pl] significant figures, significant digits rounding
square number, perfect square integer; square <algebra>
计数符号 jìshù fúhào Strichliste [f] tally marks, hash marks unary system; addition
特拉亨伯格速算系統 Tèlāhēngbógé sùsuàn xìtǒng Trachtenberg-System [n], Trachtenberg-Schnellrechenmethode [f] Trachtenberg system multiplication
单位分数 dānwèi fēnshù Stammbruch [m] unit fraction fraction
正整数的唯一分解定理，算术基本定理 zhèngzhěngshù de wéiyī fēnjiě dìnglǐ, suànshù jīběn dìnglǐ Fundamentalsatz [m] der Arithmetik [f] unique prime factorization theorem, unique factorization theorem, fundamental theorem of arithmetic prime number
零 líng Null [f] zero number (abstract idea)
zero to the power of zero zero; exponentiation
analog computer
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模拟计算机 mónǐ jìsuànjī Analogrechner [m] analog computer basic operation; logarithm; exponentiation رایانه قیاسی
列线图，诺谟图 lièxiàn tú, nuòmò tú Nomogramm [n], Nomographie [f] nomogram, nomograph analog computer
计算尺 jìsuàn chǐ Rechenschieber [m], Rechenstab [m] slide rule analog computer
arithmetic operand
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算术运算数，算术运算元 suànshù yùnsuànshù, suànshù yùnsuànyuán arithmetischer Operand arithmetic operand opérandeopérande arithmétique 算術演算子 さ↑んじゅつえんざ↓んし арифмети́ческий опера́нд
加数 jiā shù Summand [m] addend, summand addition; operand <mathematical logic> cumulateur [m] 加数 か↑す↓う جَمع وند، عامل جَمع слага́емое
antilogarithm
被加数 bèijiā shù erster Summand augend, summand addition; operand <mathematical logic> 被加数 ひ↑か↓すう مُوَلِفه دُوم جَمع اَعداد пе́рвое слага́емое
底数（指数），基数（指数） dǐshù (zhǐshù), jīshù (zhǐshù) Basis [f] (Exponentiation) base (exponentiation) exponentiation پایه (تَوان)
底数（对数），基数（对数） dǐ shù (duì shù), jī shù (duì shù) Basis [f] (Logarithmus) base (logarithm) logarithm پایه (عَدَد لُگاریتمی)
次方根 cìfāng gēn Wurzelgrad [m] degree nth root degré [m] دَرَجه
分母 fēn mǔ Nenner [m] denominator fraction; operand <mathematical logic> dénominateur [m] 分母 ぶ↓んぼ مَخرَج کَسر знамена́тель [м]
差 chā Differenz [f] difference subtraction différence [f] تَفاضُل
被除数 bèichú shù Dividend [m] dividend fraction; operand <mathematical logic> dividende [m] مَقسوم
除数 chú shù Divisor [m] divisor division; operand <mathematical logic> diviseur [m] مَقسوم عَلیه
幂，指数 mì, zhǐ shù Hochzahl [f], Exponent [m] exponent exponentiation exposant [m] نَما، قُوه، تَوان
logarithm (operand)
被减数 bèijiǎn shù Minuend [m] minuend subtraction
被乘数 bèichéng shù Multiplikand [m] multiplicand, factor multiplication; operand <mathematical logic>
乘数 chéng shù Multiplikator [m] multiplier, factor multiplication; operand <mathematical logic>
分子 fēn zǐ Zähler [m] numerator fraction; operand <mathematical logic>
power
积 jī Produkt [n] product multiplication
商 shāng Quotient [f] quotient division
radicant
余数 yú shù Rest [m], Teilungsrest [m] remainder division with remainder
根 gēn Wurzel [f] root nth root
减数 jiǎn shù Subtrahend [m] subtrahend subtraction
和 hé Summe [f] sum addition
arithmetic operation
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arithmetic operation binary operation
加法 jiā fǎ Addition [f] addition number (abstract idea); binary operation <mathematical logic> addition [f] جَمع
除法 chú fǎ Division [f] division number (abstract idea); binary operation <mathematical logic> division [f] تَقسیم
幂运算，指数运算 mì yùnsuàn, zhǐshù yùnsuàn Potenz [f] exponentiation number (abstract idea); binary operation <mathematical logic> تَوان
带余除法，欧几里德除法 dàiyú chúfǎ, Ōujīlǐdé chúfǎ Division [f] mit Rest [m] division with remainder, Euclidean division division تَقسیم بَر باقیمانده، تَقسیم اُقلیدُسی
对数 duì shù Logarithmus [m] logarithm (operation) number (abstract idea); binary operation <mathematical logic> logarithme [m]
乘法 chéng fǎ Multiplikation [f] multiplication number (abstract idea); binary operation <mathematical logic>
次方根 cìfāng gēn Wurzel [f] , Radikal [n] nth root binary operation <mathematical logic>
开方 kāi fāng Radizieren [n] root extraction nth root
减法 jiǎn fǎ Subtraktion [f], Abziehen [n], Abzug [m] subtraction number (abstract idea); binary operation <mathematical logic>
arithmetic symbol
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算术符号 suànshù fúhào arithmetisches Symbol arithmetic symbol
division sign
减号 jiǎn hào Minuszeichen [n] minus sign subtraction; negative number
multiplication sign
百分号 bǎifēn hào Prozentzeichen [n] percent sign percentage
加号 jiā hào Pluszeichen [n] plus sign addition; positive number
mechanical calculator
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机械计算器 jīxiè jìsuànqì Rechenmaschine [f] mechanical calculator, calculating machine basic operation calculatrice [f] mécanique, machine [f] à calculer, machine [f] arithmétique 機械式計算機 き↓かいしきけ↑いさ↓んき вычисли́тельная маши́на, счётная маши́на
算盘 suàn pan Abakus [m] abacus mechanical calculator چُرتکه
滚轮式加法器，帕斯卡计算器 gǔnlúnshì jiāfǎqì, Pàsīkǎ jìsuànqì Pascaline [f] Pascal's calculator, arithmetic machine, Pascaline machine calculator pascaline [f], machine [f] d’arithmétique, roue [f] pascaline パスカリン パ↑スカ↓リン суммирующая машина Паска́ля, Паскали́на
multiplication algorithm
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multiplication algorithm
格子乘法，铺地锦算法 gézi chéngfǎ, pūdìjǐn suànfǎ Gittermethode [f] lattice multiplication multiplication multiplication [f] par jalousies [f pl] 格子掛け算 こ↑うしかけ↓ざん решёточное умноже́ние
长乘法 cháng chéngfǎ Standardmethode [f] der schriftlichen Multiplikation long multiplication multiplication
农夫算法 nóngfū suànfǎ russische Bauernmultiplikation peasant multiplication, Egyptian multiplication, Ethiopian multiplication, Russian multiplication multiplication
number system
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number system
algebraic number complex number; root <algebra>
复数 fù shù komplexe Zahl complex number imaginary number; real number nombre [m] complexe اَعدادِ مُختَلِط
合数，合成数 hé shù, héchéng shù zusammengesetzte Zahl composite number division; natural number عَدَد مُرَکَب، عَدَد غِیر اَول
分数 fēn shù Bruch [m] fraction division; integer fraction [f] کَسر
虚数 xū shù imaginäre Zahl imaginary number negative number; exponentiation nombre [m] imaginaire
整数 zhěng shù Ganzzahl [f], ganze Zahl integer natural number; negative number entier
无理数 wúlǐ shù irrationale Zahl irrational number rational number; real number
自然数 zìrán shù natürliche Zahl natural number, counting number number (abstract idea)
质数，素数 zhì shù, sù shù Primzahl [f] prime number, prime product; natural number
有理数 yǒulǐ shù rationale Zahl rational number fraction; integer
实数 shí shù reelle Zahl real number rational number
transcendental number algebraic number
numeral system
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数制，记数系统，记数法 shù zhì, jìshù xìtǒng, jìshù fǎ Zahlensystem [n] numeral system notation <linguistics>
二进制 èrjìn zhì Dualsystem [n], Zweiersystem [n], Binärsystem [n] binary system numeral system système [m] binaire سیستِم باینِری
十进制 shíjìn zhì Dezimalsystem [n], Zehnersystem [n], dekadisches System decimal, base-ten integer دِسیمال، اَعداد بَر پایه دَه
十六进制 shíliùjìn zhì Hexadezimalsystem [n], Sedezimalsystem [n] hexadecimal, base 16, hex numeral system
八进制 bājìn zhì Oktalsystem [n] octal, oct numeral system
一进制 yījìn zhì Unärsystem [n] unary system numeral system
rounding
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数值修约 shùzhí xiūyuē Runden [n], Rundung [f] rounding decimal representation
无条件简化 wútiáojiàn jiǎnhuà direct rounding rounding up; rounding down; rounding towards zero; rounding away from zero رُند کَردن
向无穷取整 xiàng wúqióng qǔzhěng Wegrunden [n] von Null [f] rounding away from zero, rounding towards infinity rounding
向下取整 xiàng xià qǔzhěng Abrunden [n] rounding down, rounding towards negative infinity rounding
向零取整 xiàng líng qǔzhěng Runden [n] gegen Null [f] rounding towards zero, rounding away from infinity rounding
向上取整 xiàng shàng qǔzhěng Aufrunden [n] rounding up, rounding towards positive infinity rounding
sequence
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sequence object <mathematical logic>
arithmetic progression, arithmetic sequence sequence
geometric progression. geometric sequence sequence
theorem about prime numbers
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theorem about prime numbers
Bertrand's postulate prime number

Algebraic Number Theory[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Analytic Number Theory[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
prime-counting function prime number; function <mathematical logic>
theorems in analytic number theory
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
theorems in analytic number theory
prime number theorem prime number; asymptotic analysis

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